The Laws of Sine Cosines 45 meter tall tower

Question

A 45 meter tall tower is located on a hill that is inclined 25◦ to the horizontal. A guy-wire is to be attached to the top of the tower and anchored at a point 30 meters uphill from the base of the tower, as shown in Figure 3. Find the length of wire needed.

Answer 1

No figure submitted but the following should suffice.

The angle between the hill and the tower is 65°.

The length of the guy wire can be computed from the law of cosines as

L² = 45² + 30² - 45*30*cos 65.